以山西省107个县域为研究单元，基于全排列多边形综合图示法计算土地多功能利用水平值，采用空间解析几何模型测度土地多功能耦合度、协调性、综合发展程度，并以轨迹分析法进行分区，探究2005—2020年土地多功能综合发展程度及区域协调发展情况，厘清县域土地多功能利用水平综合情况。结果表明：（1）山西省土地多功能利用水平时空演化阶段特征明显，2005—2020年生产功能优势区由点状分布逐步扩散、联结，呈现集聚态势，且随着能矿经济衰退和经济转型，导致2020年集聚度较2010年明显降低；生活功能与生产功能空间格局基本一致，呈现分区集聚、南强于北的特征；生态功能相对稳定，与生产、生活功能鲜明互补。（2）土地多功能空间协调偏离度与耦合度空间分布有异但格局特征趋同；而综合发展程度与耦合度空间分异均呈阶段性变化。（3）生产与生活功能的耦合度、综合发展程度总体提升，但提升幅度小，整体水平低；生态功能微弱恢复，整体水平趋于中等；协调偏离度整体较优，但存在低水平协调。
By selecting 107 counties in Shanxi as the study area, this study aims to explore the degree of multi-functional land development and regional coordinating development from 2005 to 2020. To achieve this goal, the entire-array-polygon indicator method, spatial analytical geometric model and trajectory analysis were used to analyze the data. The results show that: (1) The temporal-spatial variation of land multi-function is significantly different in different time periods, especially, the production-advantageous area gradually spread from a certain point and the connections show agglomeration during 2005—2020. The spatial pattern of living functions is similar as that of production functions, which indicates the characteristics of regional agglomeration. And the agglomeration degree of living functions in the south is stronger than that in north. Ecological function is relatively stable and complementary to production and living functions. (2) The spatial distribution of spatial coordination deviation and coupling degree of land multi-function is different, but the spatial patterns are similar. However, the degree of comprehensive development and the spatial differentiation of coupling degree are the same and change during different time periods. (3) The degree of coupling between production and living and the degree of comprehensive development generally improved, but the improvement is small, and the overall level is low. The ecological function is slightly restored, and the overall level tends to be moderate. the overall degree of coordination deviation is better, but there is low-level coordination.
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